if angular velocity is given in radian/s, then it is equivalent to angular frequency, but there is a potential catch... because there is a difference between instantaneous angular velocity and average angular velocity... and one can only define an angular frequency if a body rotates with constant angular velocity. In which case [tex]\omega = \frac{d\phi}{dt}=2\pi f[/tex]

Simply put though, one is ascociated with angular motion, circular motion is the most fundamental example.
The other is associated with sinusodial oscillations whether it is simple harmonic motion or variations in alternating current.